Title

Fourier-Galerkin Domain Truncation Method For Stokes' First Problem With Oldroyd Four-Constant Liquid

Keywords

Discontinuous boundary condition; Fourier-Galerkin method; Oldroyd four-constant model; Quasilinear parabolic equation; Regularized boundary layer function; Stokes' first problem

Abstract

Using the Fourier-Galerkin method with domain truncation strategy, Stokes' first problem for Oldroyd four-constant liquid on a semi-infinite interval is studied. It is shown that the Fourier-Galerkin approximations are convergent on the bounded interval. Moreover, an efficient and accurate algorithm based on the Fourier-Galerkin approximations is developed and implemented in solving the differential equations related to the present problem. Also, the effects of non-Newtonian parameters on the flow characteristics are obtained and analyzed. The method developed here is so general that it can be used to study the mathematical models that involve the flow of viscous fluids with shear rate-dependent properties: For example, models dealing with polymer processing, tribology & lubrication, and food processing. © 2007 Elsevier Ltd. All rights reserved.

Publication Date

6-1-2008

Publication Title

Computers and Mathematics with Applications

Volume

55

Issue

11

Number of Pages

2452-2457

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.camwa.2007.08.039

Socpus ID

41949105332 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/41949105332

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